关键词: SCILAB, 无误差变换, 浮点数, 双倍双精度, 重载

Abstract: Currently, generalpurpose processors generally support 64bit floating point operations. In largescale and longtime scientific numerical calculation, the cumulative effect of rounding errors in floatingpoint operations may lead to unreliable numerical results. Therefore,  to effectively control errors, designing highprecision, efficient and reliable floatingpoint numerical algorithms is very important. By using errorfree transform and doubledouble format, this paper realizes a highprecision mathematics library based on SCILAB software platform. The evaluation of the polynomials in power basis, Bernstein form and Chebyshev basis is carried out on the Intel platform and the domestic FT processor platform. The results prove the validity of our proposed highprecision mathematics library. This library has independent intellectual property right and can run on the selfdependent and manageable domestic processor, which will support the national high technology research.

Key words: SCILAB, errorfree transformation, floating point, doubledouble precision, overloading